Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x8−9x11
Evaluate
x6(4x2−9x5)
Apply the distributive property
x6×4x2−x6×9x5
Multiply the terms
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Evaluate
x6×4x2
Use the commutative property to reorder the terms
4x6×x2
Multiply the terms
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Evaluate
x6×x2
Use the product rule an×am=an+m to simplify the expression
x6+2
Add the numbers
x8
4x8
4x8−x6×9x5
Solution
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Evaluate
x6×9x5
Use the commutative property to reorder the terms
9x6×x5
Multiply the terms
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Evaluate
x6×x5
Use the product rule an×am=an+m to simplify the expression
x6+5
Add the numbers
x11
9x11
4x8−9x11
Show Solution
Factor the expression
x8(4−9x3)
Evaluate
x6(4x2−9x5)
Factor the expression
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Evaluate
4x2−9x5
Rewrite the expression
x2×4−x2×9x3
Factor out x2 from the expression
x2(4−9x3)
x6×x2(4−9x3)
Solution
x8(4−9x3)
Show Solution
Find the roots
x1=0,x2=3312
Alternative Form
x1=0,x2≈0.763143
Evaluate
(x6)(4x2−9x5)
To find the roots of the expression,set the expression equal to 0
(x6)(4x2−9x5)=0
Calculate
x6(4x2−9x5)=0
Separate the equation into 2 possible cases
x6=04x2−9x5=0
The only way a power can be 0 is when the base equals 0
x=04x2−9x5=0
Solve the equation
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Evaluate
4x2−9x5=0
Factor the expression
x2(4−9x3)=0
Separate the equation into 2 possible cases
x2=04−9x3=0
The only way a power can be 0 is when the base equals 0
x=04−9x3=0
Solve the equation
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Evaluate
4−9x3=0
Move the constant to the right-hand side and change its sign
−9x3=0−4
Removing 0 doesn't change the value,so remove it from the expression
−9x3=−4
Change the signs on both sides of the equation
9x3=4
Divide both sides
99x3=94
Divide the numbers
x3=94
Take the 3-th root on both sides of the equation
3x3=394
Calculate
x=394
Simplify the root
x=3312
x=0x=3312
x=0x=0x=3312
Find the union
x=0x=3312
Solution
x1=0,x2=3312
Alternative Form
x1=0,x2≈0.763143
Show Solution